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If two angles are complementary, what is the maximum measure of one angle if the
Practice Questions
Q1
If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
60 degrees
90 degrees
150 degrees
30 degrees
Questions & Step-by-Step Solutions
If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
Steps
Concepts
Step 1: Understand that complementary angles are two angles that add up to 90 degrees.
Step 2: Identify the measure of one angle, which is given as 30 degrees.
Step 3: Use the formula for complementary angles: Angle 1 + Angle 2 = 90 degrees.
Step 4: Substitute the known angle into the formula: 30 degrees + Angle 2 = 90 degrees.
Step 5: Solve for Angle 2 by subtracting 30 degrees from 90 degrees: Angle 2 = 90 - 30.
Step 6: Calculate the result: Angle 2 = 60 degrees.
Step 7: Conclude that the maximum measure of the other angle is 60 degrees.
No concepts available.
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